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3 years ago

Solve the following inequalities (picture attached)

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

34.
(a) A. x < 4
(b) p > 1
(c) y ≤ 2.8

I love solving inequalities. I hope you find this answer the most helpful! :)

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Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformati

Fiesta28 [93]

Answer:B

Step-by-step explanation:

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4 years ago

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Please include step by step

mote1985 [20]

Answer:

x=2 AB=hypotenus(h) angle ACB is 90

BC=p angle CAB is 30 also angle of refrence

Step-by-step explanation:

sin[30]=p/h

(1/2)=x/4

2x=4

x=2

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4 years ago

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

To find the missing coordinate:

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

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3 years ago

Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other

sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have general equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into standard form to infer its graphical form. This procedure can be done by algebra properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

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1 year ago

The Unit Rate is when both units in a rate are equal to each other (ie. 5 cats : 5 dogs)

horsena [70]

Answer:

False

Step-by-step explanation:

Unit Rate Definitions Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.

How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.

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3 years ago

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